Spaces and equations

Walter Taylor

Displaying similar documents to “Spaces and equations”

Cochain operations defining Steenrod- $⌣_{i}$ -products in the bar construction.

Kadeishvili, T. (2003)

Georgian Mathematical Journal

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Suspension and loop objects in theories and cohomology.

Baues, H.-J., Jibladze, M. (2001)

Georgian Mathematical Journal

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Extensions of homogeneous coordinate rings to $A_{\infty}$ -algebras.

Polishchuk, A. (2003)

Homology, Homotopy and Applications

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On the equivalence of Quillen's and Swan's $K$ -theories.

Ebeling, Paul, Keune, Frans (2002)

Georgian Mathematical Journal

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On Yetter's invariant and an extension of the Dijkgraaf-Witten invariant to categorical groups.

Martins, Joao Faria, Porter, Timothy (2007)

Theory and Applications of Categories [electronic only]

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Obstructions to the section problem in a fibration with a weak formal base.

Saneblidze, S. (1997)

Georgian Mathematical Journal

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Homotopy and homology groups of the n-dimensional Hawaiian earring

Katsuya Eda, Kazuhiro Kawamura (2000)

Fundamenta Mathematicae

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For the n-dimensional Hawaiian earring $ℍ_{n},$ n ≥ 2, $π_{n} (ℍ_{n}, o) ≃ ℤ^{ω}$ and $π_{i} (ℍ_{n}, o)$ is trivial for each 1 ≤ i ≤ n - 1. Let CX be the cone over a space X and CX ∨ CY be the one-point union with two points of the base spaces X and Y being identified to a point. Then $H_{n} (X \lor Y) ≃ H_{n} (X) \oplus H_{n} (Y) \oplus H_{n} (C X \lor C Y)$ for n ≥ 1.

An algebraic model for homotopy fibers.

Dupont, Nicolas, Hess, Kathryn (2002)

Homology, Homotopy and Applications

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The Batalin-Vilkovisky Algebra on Hochschild Cohomology Induced by Infinity Inner Products

Thomas Tradler (2008)

Annales de l’institut Fourier

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We define a BV-structure on the Hochschild cohomology of a unital, associative algebra $A$ with a symmetric, invariant and non-degenerate inner product. The induced Gerstenhaber algebra is the one described in Gerstenhaber’s original paper on Hochschild-cohomology. We also prove the corresponding theorem in the homotopy case, namely we define the BV-structure on the Hochschild-cohomology of a unital $A_{\infty}$ -algebra with a symmetric and non-degenerate $\infty$ -inner product.

Cores of spaces, spectra, and $E_{\infty}$ ring spectra.

Hu, P., Kriz, I., May, J.P. (2001)

Homology, Homotopy and Applications

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The homotopy type of the space of degree 0 immersed plane curves.

Hiroki Kodama, Peter W. Michor (2006)

Revista Matemática Complutense

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The space B = Imm (S, R) / Diff (S) of all immersions of rotation degree 0 in the plane modulo reparameterizations has homotopy groups π(B ) = Z, π(B ) = Z, and π(B ) = 0 for k ≥ 3.